Geometry of the Fisher–Rao metric on the space of smooth densities on a compact manifold

DOI10.1002/mana.201600523zbMath1415.58005arXiv1607.04550OpenAlexW3099440386WikidataQ62597137 ScholiaQ62597137MaRDI QIDQ5377205

Martins Bruveris, Peter W. Michor

Publication date: 23 May 2019

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04550

zbMATH Keywords

surfaces of revolutioninformation geometryFisher-Rao metricspace of densities

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geodesics in global differential geometry (53C22) Manifolds of mappings (58D15)

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The \(L^p\)-Fisher-Rao metric and Amari-Čencov \(\alpha\)-connections ⋮ A class of non-parametric statistical manifolds modelled on Sobolev space

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